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Finding the Fourth Proportional to 2,965.70, 4,092.09 and 2,080.10

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Solution

The fourth proportional to 2,965.70, 4,092.09 and 2,080.10 is: 2,870.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.70 : 4,092.09 = 2,080.10 : x
  2. Step 2: Convert to fraction form
    2,965.70/4,092.09 = 2,080.10/x
  3. Step 3: Cross multiply
    2,965.70x = 4,092.09 × 2,080.10
  4. Step 4: Simplify right side
    2,965.70x = 8,511,956.41
  5. Step 5: Solve for x
    x = 8,511,956.41/2,965.70
  6. Step 6: Final answer
    x = 2,870.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.